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Finding the Third Proportional to 12,691,838 and 19,335,106

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Solution

The third proportional to 12,691,838 and 19,335,106 is: 29,455,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691,838 : 19,335,106 = 19,335,106 : x
  2. Step 2: Convert to fraction form
    12,691,838/19,335,106 = 19,335,106/x
  3. Step 3: Cross multiply
    12,691,838x = 19,335,106 × 19,335,106
  4. Step 4: Simplify right side
    12,691,838x = 373,846,324,031,236
  5. Step 5: Solve for x
    x = 373,846,324,031,236/12,691,838
  6. Step 6: Final answer
    x = 29,455,648.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.